What is the Least Common Multiple of 60335 and 60344?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 60335 and 60344 is 3640855240.
LCM(60335,60344) = 3640855240
Least Common Multiple of 60335 and 60344 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60335 and 60344, than apply into the LCM equation.
GCF(60335,60344) = 1
LCM(60335,60344) = ( 60335 × 60344) / 1
LCM(60335,60344) = 3640855240 / 1
LCM(60335,60344) = 3640855240
Least Common Multiple (LCM) of 60335 and 60344 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60335 and 60344. First we will calculate the prime factors of 60335 and 60344.
Prime Factorization of 60335
Prime factors of 60335 are 5, 11, 1097. Prime factorization of 60335 in exponential form is:
60335 = 51 × 111 × 10971
Prime Factorization of 60344
Prime factors of 60344 are 2, 19, 397. Prime factorization of 60344 in exponential form is:
60344 = 23 × 191 × 3971
Now multiplying the highest exponent prime factors to calculate the LCM of 60335 and 60344.
LCM(60335,60344) = 51 × 111 × 10971 × 23 × 191 × 3971
LCM(60335,60344) = 3640855240
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